2. kateri saves her quarters and dimes. she plans to exchange the coins for paper money when the total value equals $10.
(use this information to solve the following parts)
a. how many coins does she need to make $10 if all the coins are quarters? if all the coins are dimes?
b. what equation relates the number of quarters x and the number of dimes y to the goal of $10.
c. use the answers from part (a) to you draw a graph showing the solutions to the equation.
d. use the graph to find the five combinations of the dimes and quarters that will allow kateri to reach her goal.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)